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124320000000 = 211357737
BaseRepresentation
bin111001111001000001…
…1001010100000000000
3102212220002000100102110
41303302003022200000
54014101410000000
6133040053015320
711660523364410
oct1636203124000
9385802010373
10124320000000
11487a6443059
1220116624540
13b9531b9ca1
146034d98640
15337938a850
hex1cf20ca800

124320000000 has 768 divisors, whose sum is σ = 486280005120. Its totient is φ = 27648000000.

The previous prime is 124319999987. The next prime is 124320000019. The reversal of 124320000000 is 23421.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 7400 × 7000 × 2400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3359999982 + ... + 3360000018.

It is an arithmetic number, because the mean of its divisors is an integer number (633177090).

Almost surely, 2124320000000 is an apocalyptic number.

124320000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243140002560).

124320000000 is an abundant number, since it is smaller than the sum of its proper divisors (361960005120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

124320000000 is an frugal number, since it uses more digits than its factorization.

124320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 124320000000 its reverse (23421), we get a palindrome (124320023421).

The spelling of 124320000000 in words is "one hundred twenty-four billion, three hundred twenty million", and thus it is an aban number.